The shape of Pringles potato chip [closed]

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











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Why the shape of Pringles potato chip is hyperbolic paraboloid?



Pringles potato chip



I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?







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closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is not about mathematics, within the scope defined in the help center." – Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
If this question can be reworded to fit the rules in the help center, please edit the question.












  • I'd wager they thought the shape would be appealing.
    – David Mitra
    Dec 24 '13 at 21:04






  • 4




    I think this is a question about marketing, not mathematics.
    – Newb
    Dec 24 '13 at 21:05






  • 3




    Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
    – Alex Wertheim
    Dec 24 '13 at 21:07











  • @AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
    – Orat
    Dec 24 '13 at 21:12







  • 4




    I was here to do some math. Now, I feel hungry.
    – Isomorphic
    Dec 26 '13 at 7:41














up vote
7
down vote

favorite
5












Why the shape of Pringles potato chip is hyperbolic paraboloid?



Pringles potato chip



I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?







share|cite|improve this question












closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is not about mathematics, within the scope defined in the help center." – Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
If this question can be reworded to fit the rules in the help center, please edit the question.












  • I'd wager they thought the shape would be appealing.
    – David Mitra
    Dec 24 '13 at 21:04






  • 4




    I think this is a question about marketing, not mathematics.
    – Newb
    Dec 24 '13 at 21:05






  • 3




    Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
    – Alex Wertheim
    Dec 24 '13 at 21:07











  • @AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
    – Orat
    Dec 24 '13 at 21:12







  • 4




    I was here to do some math. Now, I feel hungry.
    – Isomorphic
    Dec 26 '13 at 7:41












up vote
7
down vote

favorite
5









up vote
7
down vote

favorite
5






5





Why the shape of Pringles potato chip is hyperbolic paraboloid?



Pringles potato chip



I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?







share|cite|improve this question












Why the shape of Pringles potato chip is hyperbolic paraboloid?



Pringles potato chip



I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?









share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Dec 24 '13 at 20:59









Orat

2,75521030




2,75521030




closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is not about mathematics, within the scope defined in the help center." – Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is not about mathematics, within the scope defined in the help center." – Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
If this question can be reworded to fit the rules in the help center, please edit the question.











  • I'd wager they thought the shape would be appealing.
    – David Mitra
    Dec 24 '13 at 21:04






  • 4




    I think this is a question about marketing, not mathematics.
    – Newb
    Dec 24 '13 at 21:05






  • 3




    Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
    – Alex Wertheim
    Dec 24 '13 at 21:07











  • @AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
    – Orat
    Dec 24 '13 at 21:12







  • 4




    I was here to do some math. Now, I feel hungry.
    – Isomorphic
    Dec 26 '13 at 7:41
















  • I'd wager they thought the shape would be appealing.
    – David Mitra
    Dec 24 '13 at 21:04






  • 4




    I think this is a question about marketing, not mathematics.
    – Newb
    Dec 24 '13 at 21:05






  • 3




    Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
    – Alex Wertheim
    Dec 24 '13 at 21:07











  • @AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
    – Orat
    Dec 24 '13 at 21:12







  • 4




    I was here to do some math. Now, I feel hungry.
    – Isomorphic
    Dec 26 '13 at 7:41















I'd wager they thought the shape would be appealing.
– David Mitra
Dec 24 '13 at 21:04




I'd wager they thought the shape would be appealing.
– David Mitra
Dec 24 '13 at 21:04




4




4




I think this is a question about marketing, not mathematics.
– Newb
Dec 24 '13 at 21:05




I think this is a question about marketing, not mathematics.
– Newb
Dec 24 '13 at 21:05




3




3




Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
– Alex Wertheim
Dec 24 '13 at 21:07





Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
– Alex Wertheim
Dec 24 '13 at 21:07













@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
– Orat
Dec 24 '13 at 21:12





@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
– Orat
Dec 24 '13 at 21:12





4




4




I was here to do some math. Now, I feel hungry.
– Isomorphic
Dec 26 '13 at 7:41




I was here to do some math. Now, I feel hungry.
– Isomorphic
Dec 26 '13 at 7:41










5 Answers
5






active

oldest

votes

















up vote
12
down vote













  • The shape is self centering hence easy to stack up

  • There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)

  • It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)

But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.



For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.






share|cite|improve this answer






















  • Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
    – Henry
    Oct 9 '14 at 9:16

















up vote
2
down vote













I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip






share|cite|improve this answer
















  • 2




    Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
    – Jesse P Francis
    May 7 '15 at 19:24


















up vote
0
down vote













It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.






share|cite|improve this answer
















  • 7




    Well, then it's most definitely not a hyperbolic paraboloid.
    – Ted Shifrin
    Dec 24 '13 at 21:45

















up vote
0
down vote













The reason for it might be something like this-
Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.






share|cite|improve this answer



























    up vote
    0
    down vote













    The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
    And the shape is kind of neat in a solid geometry sort of way.






    share|cite|improve this answer



























      5 Answers
      5






      active

      oldest

      votes








      5 Answers
      5






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      12
      down vote













      • The shape is self centering hence easy to stack up

      • There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)

      • It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)

      But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.



      For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.






      share|cite|improve this answer






















      • Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
        – Henry
        Oct 9 '14 at 9:16














      up vote
      12
      down vote













      • The shape is self centering hence easy to stack up

      • There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)

      • It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)

      But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.



      For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.






      share|cite|improve this answer






















      • Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
        – Henry
        Oct 9 '14 at 9:16












      up vote
      12
      down vote










      up vote
      12
      down vote









      • The shape is self centering hence easy to stack up

      • There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)

      • It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)

      But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.



      For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.






      share|cite|improve this answer














      • The shape is self centering hence easy to stack up

      • There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)

      • It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)

      But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.



      For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.







      share|cite|improve this answer














      share|cite|improve this answer



      share|cite|improve this answer








      edited Dec 26 '13 at 7:33









      Martin Sleziak

      43.5k6113260




      43.5k6113260










      answered Dec 24 '13 at 21:21









      Kronos

      1212




      1212











      • Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
        – Henry
        Oct 9 '14 at 9:16
















      • Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
        – Henry
        Oct 9 '14 at 9:16















      Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
      – Henry
      Oct 9 '14 at 9:16




      Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
      – Henry
      Oct 9 '14 at 9:16










      up vote
      2
      down vote













      I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip






      share|cite|improve this answer
















      • 2




        Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
        – Jesse P Francis
        May 7 '15 at 19:24















      up vote
      2
      down vote













      I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip






      share|cite|improve this answer
















      • 2




        Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
        – Jesse P Francis
        May 7 '15 at 19:24













      up vote
      2
      down vote










      up vote
      2
      down vote









      I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip






      share|cite|improve this answer












      I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip







      share|cite|improve this answer












      share|cite|improve this answer



      share|cite|improve this answer










      answered May 7 '15 at 19:18









      Yolanda whitley

      211




      211







      • 2




        Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
        – Jesse P Francis
        May 7 '15 at 19:24













      • 2




        Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
        – Jesse P Francis
        May 7 '15 at 19:24








      2




      2




      Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
      – Jesse P Francis
      May 7 '15 at 19:24





      Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
      – Jesse P Francis
      May 7 '15 at 19:24











      up vote
      0
      down vote













      It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.






      share|cite|improve this answer
















      • 7




        Well, then it's most definitely not a hyperbolic paraboloid.
        – Ted Shifrin
        Dec 24 '13 at 21:45














      up vote
      0
      down vote













      It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.






      share|cite|improve this answer
















      • 7




        Well, then it's most definitely not a hyperbolic paraboloid.
        – Ted Shifrin
        Dec 24 '13 at 21:45












      up vote
      0
      down vote










      up vote
      0
      down vote









      It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.






      share|cite|improve this answer












      It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.







      share|cite|improve this answer












      share|cite|improve this answer



      share|cite|improve this answer










      answered Dec 24 '13 at 21:36









      Michael Hoppe

      9,62131432




      9,62131432







      • 7




        Well, then it's most definitely not a hyperbolic paraboloid.
        – Ted Shifrin
        Dec 24 '13 at 21:45












      • 7




        Well, then it's most definitely not a hyperbolic paraboloid.
        – Ted Shifrin
        Dec 24 '13 at 21:45







      7




      7




      Well, then it's most definitely not a hyperbolic paraboloid.
      – Ted Shifrin
      Dec 24 '13 at 21:45




      Well, then it's most definitely not a hyperbolic paraboloid.
      – Ted Shifrin
      Dec 24 '13 at 21:45










      up vote
      0
      down vote













      The reason for it might be something like this-
      Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
      But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.






      share|cite|improve this answer
























        up vote
        0
        down vote













        The reason for it might be something like this-
        Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
        But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.






        share|cite|improve this answer






















          up vote
          0
          down vote










          up vote
          0
          down vote









          The reason for it might be something like this-
          Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
          But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.






          share|cite|improve this answer












          The reason for it might be something like this-
          Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
          But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Mar 13 at 14:08









          Aneeket Lande

          33




          33




















              up vote
              0
              down vote













              The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
              And the shape is kind of neat in a solid geometry sort of way.






              share|cite|improve this answer
























                up vote
                0
                down vote













                The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
                And the shape is kind of neat in a solid geometry sort of way.






                share|cite|improve this answer






















                  up vote
                  0
                  down vote










                  up vote
                  0
                  down vote









                  The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
                  And the shape is kind of neat in a solid geometry sort of way.






                  share|cite|improve this answer












                  The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
                  And the shape is kind of neat in a solid geometry sort of way.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Aug 15 at 2:59









                  ARNOLD WEISENBERG

                  1




                  1












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